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Finding the Third Proportional to 65,539.13 and 99,523.69

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Solution

The third proportional to 65,539.13 and 99,523.69 is: 151,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,539.13 : 99,523.69 = 99,523.69 : x
  2. Step 2: Convert to fraction form
    65,539.13/99,523.69 = 99,523.69/x
  3. Step 3: Cross multiply
    65,539.13x = 99,523.69 × 99,523.69
  4. Step 4: Simplify right side
    65,539.13x = 9,904,964,373.60
  5. Step 5: Solve for x
    x = 9,904,964,373.60/65,539.13
  6. Step 6: Final answer
    x = 151,130.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.